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Original Articles

Standard Bigraded Hilbert Functions

Pages 425-462 | Received 15 Oct 2003, Published online: 03 Sep 2006

REFERENCES

  • Aramova , A. , Crona , K. , De Negri , E. ( 2000 ). Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions . J. Pure Appl. Algebra 150 ( 3 ): 312 – 235 . [CSA]
  • Apel , J. ( 2003 ). On a conjecture of R. P. Stanley. I. Monomial ideals . J. Algebraic Combin. 17 ( 1 ): 39 – 56 . [CROSSREF] [CSA]
  • Bigatti , A. M. ( 1993 ). Upper bonds for the Betti numbers of a given Hilbert function . Comm. Algebra 21 : 2317 – 2334 . [CSA]
  • Bruns , W. , Herzog , J. ( 1998 ). Cohen-Macaulay Rings . Revised edition . Cambridge : Cambridge University press .
  • Gotzmann , G. ( 1978 ). Eine Bedingung für die flachheit und das hilbertpolybom eines graduierten ringes . Math. Z. 158 ( 1 ): 61 – 70 . [CROSSREF] [CSA]
  • Green , M. L. ( 1998 ). Generic Initial Ideals. Six Lectures on Commutative Algebra (Bellaterra, 1996) . Progr. Math. 166 . Basel : Birkhauser , pp. 119 – 186 .
  • Haiman , M. , Sturmfels , B. ( 2004 ). Multigraded Hilbert schemes . J. Algebraic Geom. 13 ( 4 ): 725 – 769 . [CSA]
  • Hosten , S. , Thomas , R. ( 1999 ). Standard pairs and group relaxations in integer programming . J. Pure Appl. Algebra 139 ( 1–3 ): 133 – 157 . [CROSSREF] [CSA]
  • Macaulay , F. S. ( 1927 ). Some properties of enumeration in the theory of modular systems . Proc. London Math. Soc. 26 : 531 – 555 . [CSA]
  • Maclagan , D. , Smith , G. ( 2004 ). Multigraded Castelnuovo-Mumford regularity . J. Reine Angew. Math. 571 : 179 – 212 . [CSA]
  • Maclagan , D. , Smith , G. ( 2005 ). Uniform bounds on multigraded regularity . J. Algebraic Geom. 14 ( 1 ): 137 – 164 . [CSA]
  • Communicated by W. Bruns.

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